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38157350 = 25271121753
BaseRepresentation
bin1001000110001…
…1110000100110
32122210121001012
42101203300212
534232013400
63441502222
7642221630
oct221436046
978717035
1038157350
111a5a2200
1210941972
137b9cc1a
1450d3a50
15353ad35
hex2463c26

38157350 has 144 divisors (see below), whose sum is σ = 96181344. Its totient is φ = 10982400.

The previous prime is 38157331. The next prime is 38157389. The reversal of 38157350 is 5375183.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719924 + ... + 719976.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 238157350 is an apocalyptic number.

38157350 is an abundant number, since it is smaller than the sum of its proper divisors (58023994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38157350 is a wasteful number, since it uses less digits than its factorization.

38157350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 38157350 is about 6177.1635885736. The cubic root of 38157350 is about 336.6609427296.

The spelling of 38157350 in words is "thirty-eight million, one hundred fifty-seven thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 17 22 25 34 35 50 53 55 70 77 85 106 110 119 121 154 170 175 187 238 242 265 275 350 371 374 385 425 530 550 583 595 605 742 770 847 850 901 935 1166 1190 1210 1309 1325 1694 1802 1855 1870 1925 2057 2618 2650 2915 2975 3025 3710 3850 4081 4114 4235 4505 4675 5830 5950 6050 6307 6413 6545 8162 8470 9010 9275 9350 9911 10285 12614 12826 13090 14399 14575 18550 19822 20405 20570 21175 22525 28798 29150 31535 32065 32725 40810 42350 44891 45050 49555 51425 63070 64130 65450 69377 71995 89782 99110 102025 102850 109021 138754 143990 157675 160325 204050 218042 224455 247775 315350 320650 346885 359975 448910 495550 545105 693770 719950 763147 1090210 1122275 1526294 1734425 2244550 2725525 3468850 3815735 5451050 7631470 19078675 38157350